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Finding the Fourth Proportional to 9,817, 14,727.90 and 3,661

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Solution

The fourth proportional to 9,817, 14,727.90 and 3,661 is: 5,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817 : 14,727.90 = 3,661 : x
  2. Step 2: Convert to fraction form
    9,817/14,727.90 = 3,661/x
  3. Step 3: Cross multiply
    9,817x = 14,727.90 × 3,661
  4. Step 4: Simplify right side
    9,817x = 53,918,841.90
  5. Step 5: Solve for x
    x = 53,918,841.90/9,817
  6. Step 6: Final answer
    x = 5,492.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.